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Finding the Fourth Proportional to 554,445.80, 830,502.30 and 461,133.80

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Solution

The fourth proportional to 554,445.80, 830,502.30 and 461,133.80 is: 690,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,445.80 : 830,502.30 = 461,133.80 : x
  2. Step 2: Convert to fraction form
    554,445.80/830,502.30 = 461,133.80/x
  3. Step 3: Cross multiply
    554,445.80x = 830,502.30 × 461,133.80
  4. Step 4: Simplify right side
    554,445.80x = 382,972,681,507.74
  5. Step 5: Solve for x
    x = 382,972,681,507.74/554,445.80
  6. Step 6: Final answer
    x = 690,730.60

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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.