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Finding the Fourth Proportional to 602,114.67, 830,956.67 and 397,807.16

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Solution

The fourth proportional to 602,114.67, 830,956.67 and 397,807.16 is: 548,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,114.67 : 830,956.67 = 397,807.16 : x
  2. Step 2: Convert to fraction form
    602,114.67/830,956.67 = 397,807.16/x
  3. Step 3: Cross multiply
    602,114.67x = 830,956.67 × 397,807.16
  4. Step 4: Simplify right side
    602,114.67x = 330,560,506,831.94
  5. Step 5: Solve for x
    x = 330,560,506,831.94/602,114.67
  6. Step 6: Final answer
    x = 548,999.26

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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.