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Finding the Fourth Proportional to 620,693.36, 931,502.10 and 461,140.78

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Solution

The fourth proportional to 620,693.36, 931,502.10 and 461,140.78 is: 692,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,693.36 : 931,502.10 = 461,140.78 : x
  2. Step 2: Convert to fraction form
    620,693.36/931,502.10 = 461,140.78/x
  3. Step 3: Cross multiply
    620,693.36x = 931,502.10 × 461,140.78
  4. Step 4: Simplify right side
    620,693.36x = 429,553,604,965.64
  5. Step 5: Solve for x
    x = 429,553,604,965.64/620,693.36
  6. Step 6: Final answer
    x = 692,054.45

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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.