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Finding the Fourth Proportional to 346,792.72, 478,382.34 and 282,331.30

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Solution

The fourth proportional to 346,792.72, 478,382.34 and 282,331.30 is: 389,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,792.72 : 478,382.34 = 282,331.30 : x
  2. Step 2: Convert to fraction form
    346,792.72/478,382.34 = 282,331.30/x
  3. Step 3: Cross multiply
    346,792.72x = 478,382.34 × 282,331.30
  4. Step 4: Simplify right side
    346,792.72x = 135,062,307,949.24
  5. Step 5: Solve for x
    x = 135,062,307,949.24/346,792.72
  6. Step 6: Final answer
    x = 389,461.20

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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.