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Finding the Fourth Proportional to 470,877.17, 649,807.20 and 256,017.29

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Solution

The fourth proportional to 470,877.17, 649,807.20 and 256,017.29 is: 353,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,877.17 : 649,807.20 = 256,017.29 : x
  2. Step 2: Convert to fraction form
    470,877.17/649,807.20 = 256,017.29/x
  3. Step 3: Cross multiply
    470,877.17x = 649,807.20 × 256,017.29
  4. Step 4: Simplify right side
    470,877.17x = 166,361,875,117.45
  5. Step 5: Solve for x
    x = 166,361,875,117.45/470,877.17
  6. Step 6: Final answer
    x = 353,302.07

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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.