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Finding the Fourth Proportional to 284,328,264.80, 426,492,397.20 and 185,692,815.20

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Solution

The fourth proportional to 284,328,264.80, 426,492,397.20 and 185,692,815.20 is: 278,539,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,328,264.80 : 426,492,397.20 = 185,692,815.20 : x
  2. Step 2: Convert to fraction form
    284,328,264.80/426,492,397.20 = 185,692,815.20/x
  3. Step 3: Cross multiply
    284,328,264.80x = 426,492,397.20 × 185,692,815.20
  4. Step 4: Simplify right side
    284,328,264.80x = 79,196,573,897,464,592
  5. Step 5: Solve for x
    x = 79,196,573,897,464,592/284,328,264.80
  6. Step 6: Final answer
    x = 278,539,222.80

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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.