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Finding the Fourth Proportional to 401,715.92, 602,345.52 and 310,499.05

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Solution

The fourth proportional to 401,715.92, 602,345.52 and 310,499.05 is: 465,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,715.92 : 602,345.52 = 310,499.05 : x
  2. Step 2: Convert to fraction form
    401,715.92/602,345.52 = 310,499.05/x
  3. Step 3: Cross multiply
    401,715.92x = 602,345.52 × 310,499.05
  4. Step 4: Simplify right side
    401,715.92x = 187,027,712,484.69
  5. Step 5: Solve for x
    x = 187,027,712,484.69/401,715.92
  6. Step 6: Final answer
    x = 465,572.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.