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Finding the Fourth Proportional to 651,916.80, 978,166.80 and 314,827.20

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Solution

The fourth proportional to 651,916.80, 978,166.80 and 314,827.20 is: 472,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,916.80 : 978,166.80 = 314,827.20 : x
  2. Step 2: Convert to fraction form
    651,916.80/978,166.80 = 314,827.20/x
  3. Step 3: Cross multiply
    651,916.80x = 978,166.80 × 314,827.20
  4. Step 4: Simplify right side
    651,916.80x = 307,953,514,776.96
  5. Step 5: Solve for x
    x = 307,953,514,776.96/651,916.80
  6. Step 6: Final answer
    x = 472,381.62

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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.