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Finding the Fourth Proportional to 1,309,972.77, 1,964,420.13 and 500,656.10

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Solution

The fourth proportional to 1,309,972.77, 1,964,420.13 and 500,656.10 is: 750,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,972.77 : 1,964,420.13 = 500,656.10 : x
  2. Step 2: Convert to fraction form
    1,309,972.77/1,964,420.13 = 500,656.10/x
  3. Step 3: Cross multiply
    1,309,972.77x = 1,964,420.13 × 500,656.10
  4. Step 4: Simplify right side
    1,309,972.77x = 983,498,911,225.19
  5. Step 5: Solve for x
    x = 983,498,911,225.19/1,309,972.77
  6. Step 6: Final answer
    x = 750,778.13

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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.