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Finding the Fourth Proportional to 516,521.76, 712,751.06 and 478,435.16

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Solution

The fourth proportional to 516,521.76, 712,751.06 and 478,435.16 is: 660,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,521.76 : 712,751.06 = 478,435.16 : x
  2. Step 2: Convert to fraction form
    516,521.76/712,751.06 = 478,435.16/x
  3. Step 3: Cross multiply
    516,521.76x = 712,751.06 × 478,435.16
  4. Step 4: Simplify right side
    516,521.76x = 341,005,167,431.27
  5. Step 5: Solve for x
    x = 341,005,167,431.27/516,521.76
  6. Step 6: Final answer
    x = 660,195.16

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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.