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Finding the Fourth Proportional to 556,114,295.30, 834,171,442.95 and 427,371,728.90

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Solution

The fourth proportional to 556,114,295.30, 834,171,442.95 and 427,371,728.90 is: 641,057,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,114,295.30 : 834,171,442.95 = 427,371,728.90 : x
  2. Step 2: Convert to fraction form
    556,114,295.30/834,171,442.95 = 427,371,728.90/x
  3. Step 3: Cross multiply
    556,114,295.30x = 834,171,442.95 × 427,371,728.90
  4. Step 4: Simplify right side
    556,114,295.30x = 356,501,291,772,549,248
  5. Step 5: Solve for x
    x = 356,501,291,772,549,248/556,114,295.30
  6. Step 6: Final answer
    x = 641,057,593.35

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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.