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Finding the Fourth Proportional to 931,400, 1,285,332 and 507,464

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Solution

The fourth proportional to 931,400, 1,285,332 and 507,464 is: 700,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,400 : 1,285,332 = 507,464 : x
  2. Step 2: Convert to fraction form
    931,400/1,285,332 = 507,464/x
  3. Step 3: Cross multiply
    931,400x = 1,285,332 × 507,464
  4. Step 4: Simplify right side
    931,400x = 652,259,718,048
  5. Step 5: Solve for x
    x = 652,259,718,048/931,400
  6. Step 6: Final answer
    x = 700,300.32

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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.