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Finding the Fourth Proportional to 284,000.76, 391,918.86 and 156,681.72

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Solution

The fourth proportional to 284,000.76, 391,918.86 and 156,681.72 is: 216,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,000.76 : 391,918.86 = 156,681.72 : x
  2. Step 2: Convert to fraction form
    284,000.76/391,918.86 = 156,681.72/x
  3. Step 3: Cross multiply
    284,000.76x = 391,918.86 × 156,681.72
  4. Step 4: Simplify right side
    284,000.76x = 61,406,521,085.24
  5. Step 5: Solve for x
    x = 61,406,521,085.24/284,000.76
  6. Step 6: Final answer
    x = 216,219.57

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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.