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Finding the Fourth Proportional to 390,032.74, 537,724.74 and 309,726.10

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Solution

The fourth proportional to 390,032.74, 537,724.74 and 309,726.10 is: 427,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,032.74 : 537,724.74 = 309,726.10 : x
  2. Step 2: Convert to fraction form
    390,032.74/537,724.74 = 309,726.10/x
  3. Step 3: Cross multiply
    390,032.74x = 537,724.74 × 309,726.10
  4. Step 4: Simplify right side
    390,032.74x = 166,547,386,593.71
  5. Step 5: Solve for x
    x = 166,547,386,593.71/390,032.74
  6. Step 6: Final answer
    x = 427,008.73

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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.