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Finding the Fourth Proportional to 458,790, 633,130.20 and 257,590.32

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Solution

The fourth proportional to 458,790, 633,130.20 and 257,590.32 is: 355,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,790 : 633,130.20 = 257,590.32 : x
  2. Step 2: Convert to fraction form
    458,790/633,130.20 = 257,590.32/x
  3. Step 3: Cross multiply
    458,790x = 633,130.20 × 257,590.32
  4. Step 4: Simplify right side
    458,790x = 163,088,210,819.66
  5. Step 5: Solve for x
    x = 163,088,210,819.66/458,790
  6. Step 6: Final answer
    x = 355,474.64

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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.