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Finding the Fourth Proportional to 557,440.79, 769,282.52 and 315,719.78

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Solution

The fourth proportional to 557,440.79, 769,282.52 and 315,719.78 is: 435,701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,440.79 : 769,282.52 = 315,719.78 : x
  2. Step 2: Convert to fraction form
    557,440.79/769,282.52 = 315,719.78/x
  3. Step 3: Cross multiply
    557,440.79x = 769,282.52 × 315,719.78
  4. Step 4: Simplify right side
    557,440.79x = 242,877,702,547.23
  5. Step 5: Solve for x
    x = 242,877,702,547.23/557,440.79
  6. Step 6: Final answer
    x = 435,701.35

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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.