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Finding the Fourth Proportional to 384,712.71, 530,968.10 and 260,477.32

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Solution

The fourth proportional to 384,712.71, 530,968.10 and 260,477.32 is: 359,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,712.71 : 530,968.10 = 260,477.32 : x
  2. Step 2: Convert to fraction form
    384,712.71/530,968.10 = 260,477.32/x
  3. Step 3: Cross multiply
    384,712.71x = 530,968.10 × 260,477.32
  4. Step 4: Simplify right side
    384,712.71x = 138,305,147,693.49
  5. Step 5: Solve for x
    x = 138,305,147,693.49/384,712.71
  6. Step 6: Final answer
    x = 359,502.41

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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.