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Finding the Fourth Proportional to 401,710.68, 602,570.16 and 102,191.40

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Solution

The fourth proportional to 401,710.68, 602,570.16 and 102,191.40 is: 153,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,710.68 : 602,570.16 = 102,191.40 : x
  2. Step 2: Convert to fraction form
    401,710.68/602,570.16 = 102,191.40/x
  3. Step 3: Cross multiply
    401,710.68x = 602,570.16 × 102,191.40
  4. Step 4: Simplify right side
    401,710.68x = 61,577,488,248.62
  5. Step 5: Solve for x
    x = 61,577,488,248.62/401,710.68
  6. Step 6: Final answer
    x = 153,288.15

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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.