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Finding the Fourth Proportional to 465,301.16, 698,000.29 and 128,341.87

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Solution

The fourth proportional to 465,301.16, 698,000.29 and 128,341.87 is: 192,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,301.16 : 698,000.29 = 128,341.87 : x
  2. Step 2: Convert to fraction form
    465,301.16/698,000.29 = 128,341.87/x
  3. Step 3: Cross multiply
    465,301.16x = 698,000.29 × 128,341.87
  4. Step 4: Simplify right side
    465,301.16x = 89,582,660,413.29
  5. Step 5: Solve for x
    x = 89,582,660,413.29/465,301.16
  6. Step 6: Final answer
    x = 192,526.19

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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.