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Finding the Fourth Proportional to 381,386.61, 572,061.38 and 141,547.23

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Solution

The fourth proportional to 381,386.61, 572,061.38 and 141,547.23 is: 212,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,386.61 : 572,061.38 = 141,547.23 : x
  2. Step 2: Convert to fraction form
    381,386.61/572,061.38 = 141,547.23/x
  3. Step 3: Cross multiply
    381,386.61x = 572,061.38 × 141,547.23
  4. Step 4: Simplify right side
    381,386.61x = 80,973,703,021.24
  5. Step 5: Solve for x
    x = 80,973,703,021.24/381,386.61
  6. Step 6: Final answer
    x = 212,313.96

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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.