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Finding the Fourth Proportional to 948,807.42, 1,309,369 and 519,094.74

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Solution

The fourth proportional to 948,807.42, 1,309,369 and 519,094.74 is: 716,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,807.42 : 1,309,369 = 519,094.74 : x
  2. Step 2: Convert to fraction form
    948,807.42/1,309,369 = 519,094.74/x
  3. Step 3: Cross multiply
    948,807.42x = 1,309,369 × 519,094.74
  4. Step 4: Simplify right side
    948,807.42x = 679,686,560,619.06
  5. Step 5: Solve for x
    x = 679,686,560,619.06/948,807.42
  6. Step 6: Final answer
    x = 716,358.82

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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.