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Finding the Fourth Proportional to 530,232, 731,720.16 and 291,768

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Solution

The fourth proportional to 530,232, 731,720.16 and 291,768 is: 402,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,232 : 731,720.16 = 291,768 : x
  2. Step 2: Convert to fraction form
    530,232/731,720.16 = 291,768/x
  3. Step 3: Cross multiply
    530,232x = 731,720.16 × 291,768
  4. Step 4: Simplify right side
    530,232x = 213,492,527,642.88
  5. Step 5: Solve for x
    x = 213,492,527,642.88/530,232
  6. Step 6: Final answer
    x = 402,639.84

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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.