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Finding the Fourth Proportional to 402,111.65, 602,248.53 and 191,897.21

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Solution

The fourth proportional to 402,111.65, 602,248.53 and 191,897.21 is: 287,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,111.65 : 602,248.53 = 191,897.21 : x
  2. Step 2: Convert to fraction form
    402,111.65/602,248.53 = 191,897.21/x
  3. Step 3: Cross multiply
    402,111.65x = 602,248.53 × 191,897.21
  4. Step 4: Simplify right side
    402,111.65x = 115,569,812,633.60
  5. Step 5: Solve for x
    x = 115,569,812,633.60/402,111.65
  6. Step 6: Final answer
    x = 287,407.27

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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.