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Finding the Fourth Proportional to 284,468.13, 392,567.40 and 155,408.40

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Solution

The fourth proportional to 284,468.13, 392,567.40 and 155,408.40 is: 214,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,468.13 : 392,567.40 = 155,408.40 : x
  2. Step 2: Convert to fraction form
    284,468.13/392,567.40 = 155,408.40/x
  3. Step 3: Cross multiply
    284,468.13x = 392,567.40 × 155,408.40
  4. Step 4: Simplify right side
    284,468.13x = 61,008,271,526.16
  5. Step 5: Solve for x
    x = 61,008,271,526.16/284,468.13
  6. Step 6: Final answer
    x = 214,464.35

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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.