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Finding the Fourth Proportional to 586,128, 808,857.12 and 317,856

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Solution

The fourth proportional to 586,128, 808,857.12 and 317,856 is: 438,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,128 : 808,857.12 = 317,856 : x
  2. Step 2: Convert to fraction form
    586,128/808,857.12 = 317,856/x
  3. Step 3: Cross multiply
    586,128x = 808,857.12 × 317,856
  4. Step 4: Simplify right side
    586,128x = 257,100,088,734.72
  5. Step 5: Solve for x
    x = 257,100,088,734.72/586,128
  6. Step 6: Final answer
    x = 438,641.54

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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.