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Finding the Fourth Proportional to 280,187,276.80, 420,280,915.20 and 178,402,547.20

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Solution

The fourth proportional to 280,187,276.80, 420,280,915.20 and 178,402,547.20 is: 267,603,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,187,276.80 : 420,280,915.20 = 178,402,547.20 : x
  2. Step 2: Convert to fraction form
    280,187,276.80/420,280,915.20 = 178,402,547.20/x
  3. Step 3: Cross multiply
    280,187,276.80x = 420,280,915.20 × 178,402,547.20
  4. Step 4: Simplify right side
    280,187,276.80x = 74,979,185,811,227,184
  5. Step 5: Solve for x
    x = 74,979,185,811,227,184/280,187,276.80
  6. Step 6: Final answer
    x = 267,603,820.80

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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.