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Finding the Fourth Proportional to 387,316.52, 534,510.60 and 217,547

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Solution

The fourth proportional to 387,316.52, 534,510.60 and 217,547 is: 300,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,316.52 : 534,510.60 = 217,547 : x
  2. Step 2: Convert to fraction form
    387,316.52/534,510.60 = 217,547/x
  3. Step 3: Cross multiply
    387,316.52x = 534,510.60 × 217,547
  4. Step 4: Simplify right side
    387,316.52x = 116,281,177,498.20
  5. Step 5: Solve for x
    x = 116,281,177,498.20/387,316.52
  6. Step 6: Final answer
    x = 300,222.61

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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.