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Finding the Fourth Proportional to 584,020, 805,947.78 and 315,748

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Solution

The fourth proportional to 584,020, 805,947.78 and 315,748 is: 435,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,020 : 805,947.78 = 315,748 : x
  2. Step 2: Convert to fraction form
    584,020/805,947.78 = 315,748/x
  3. Step 3: Cross multiply
    584,020x = 805,947.78 × 315,748
  4. Step 4: Simplify right side
    584,020x = 254,476,399,639.44
  5. Step 5: Solve for x
    x = 254,476,399,639.44/584,020
  6. Step 6: Final answer
    x = 435,732.34

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1.5x scale

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.