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Finding the Fourth Proportional to 507,347, 700,130.28 and 280,987.64

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Solution

The fourth proportional to 507,347, 700,130.28 and 280,987.64 is: 387,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,347 : 700,130.28 = 280,987.64 : x
  2. Step 2: Convert to fraction form
    507,347/700,130.28 = 280,987.64/x
  3. Step 3: Cross multiply
    507,347x = 700,130.28 × 280,987.64
  4. Step 4: Simplify right side
    507,347x = 196,727,955,069.74
  5. Step 5: Solve for x
    x = 196,727,955,069.74/507,347
  6. Step 6: Final answer
    x = 387,758.19

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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.