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Finding the Fourth Proportional to 288,543.18, 398,210.19 and 159,478.89

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Solution

The fourth proportional to 288,543.18, 398,210.19 and 159,478.89 is: 220,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,543.18 : 398,210.19 = 159,478.89 : x
  2. Step 2: Convert to fraction form
    288,543.18/398,210.19 = 159,478.89/x
  3. Step 3: Cross multiply
    288,543.18x = 398,210.19 × 159,478.89
  4. Step 4: Simplify right side
    288,543.18x = 63,506,119,087.89
  5. Step 5: Solve for x
    x = 63,506,119,087.89/288,543.18
  6. Step 6: Final answer
    x = 220,092.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.