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Finding the Fourth Proportional to 280,307.92, 386,819.88 and 152,980.24

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Solution

The fourth proportional to 280,307.92, 386,819.88 and 152,980.24 is: 211,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,307.92 : 386,819.88 = 152,980.24 : x
  2. Step 2: Convert to fraction form
    280,307.92/386,819.88 = 152,980.24/x
  3. Step 3: Cross multiply
    280,307.92x = 386,819.88 × 152,980.24
  4. Step 4: Simplify right side
    280,307.92x = 59,175,798,079.17
  5. Step 5: Solve for x
    x = 59,175,798,079.17/280,307.92
  6. Step 6: Final answer
    x = 211,109.98

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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.