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Finding the Fourth Proportional to 287,341.76, 430,625.13 and 145,287.26

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Solution

The fourth proportional to 287,341.76, 430,625.13 and 145,287.26 is: 217,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,341.76 : 430,625.13 = 145,287.26 : x
  2. Step 2: Convert to fraction form
    287,341.76/430,625.13 = 145,287.26/x
  3. Step 3: Cross multiply
    287,341.76x = 430,625.13 × 145,287.26
  4. Step 4: Simplify right side
    287,341.76x = 62,564,343,071.72
  5. Step 5: Solve for x
    x = 62,564,343,071.72/287,341.76
  6. Step 6: Final answer
    x = 217,734.95

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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.