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Finding the Fourth Proportional to 342,644.02, 513,032.91 and 266,478.10

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Solution

The fourth proportional to 342,644.02, 513,032.91 and 266,478.10 is: 398,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,644.02 : 513,032.91 = 266,478.10 : x
  2. Step 2: Convert to fraction form
    342,644.02/513,032.91 = 266,478.10/x
  3. Step 3: Cross multiply
    342,644.02x = 513,032.91 × 266,478.10
  4. Step 4: Simplify right side
    342,644.02x = 136,712,035,094.27
  5. Step 5: Solve for x
    x = 136,712,035,094.27/342,644.02
  6. Step 6: Final answer
    x = 398,991.45

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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.