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Finding the Fourth Proportional to 902,993, 1,246,130.50 and 500,585

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Solution

The fourth proportional to 902,993, 1,246,130.50 and 500,585 is: 690,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,993 : 1,246,130.50 = 500,585 : x
  2. Step 2: Convert to fraction form
    902,993/1,246,130.50 = 500,585/x
  3. Step 3: Cross multiply
    902,993x = 1,246,130.50 × 500,585
  4. Step 4: Simplify right side
    902,993x = 623,794,236,342.50
  5. Step 5: Solve for x
    x = 623,794,236,342.50/902,993
  6. Step 6: Final answer
    x = 690,807.39

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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.