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Finding the Fourth Proportional to 713,646,013.38, 985,177,525.80 and 478,610,698.02

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Solution

The fourth proportional to 713,646,013.38, 985,177,525.80 and 478,610,698.02 is: 660,714,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,646,013.38 : 985,177,525.80 = 478,610,698.02 : x
  2. Step 2: Convert to fraction form
    713,646,013.38/985,177,525.80 = 478,610,698.02/x
  3. Step 3: Cross multiply
    713,646,013.38x = 985,177,525.80 × 478,610,698.02
  4. Step 4: Simplify right side
    713,646,013.38x = 471,516,503,296,754,496
  5. Step 5: Solve for x
    x = 471,516,503,296,754,496/713,646,013.38
  6. Step 6: Final answer
    x = 660,714,828.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.