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Finding the Fourth Proportional to 931,454, 1,285,406.52 and 507,518

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Solution

The fourth proportional to 931,454, 1,285,406.52 and 507,518 is: 700,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,454 : 1,285,406.52 = 507,518 : x
  2. Step 2: Convert to fraction form
    931,454/1,285,406.52 = 507,518/x
  3. Step 3: Cross multiply
    931,454x = 1,285,406.52 × 507,518
  4. Step 4: Simplify right side
    931,454x = 652,366,946,217.36
  5. Step 5: Solve for x
    x = 652,366,946,217.36/931,454
  6. Step 6: Final answer
    x = 700,374.84

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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.