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Finding the Fourth Proportional to 745,256, 1,028,455.72 and 405,726.68

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Solution

The fourth proportional to 745,256, 1,028,455.72 and 405,726.68 is: 559,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,256 : 1,028,455.72 = 405,726.68 : x
  2. Step 2: Convert to fraction form
    745,256/1,028,455.72 = 405,726.68/x
  3. Step 3: Cross multiply
    745,256x = 1,028,455.72 × 405,726.68
  4. Step 4: Simplify right side
    745,256x = 417,271,924,802.61
  5. Step 5: Solve for x
    x = 417,271,924,802.61/745,256
  6. Step 6: Final answer
    x = 559,904.15

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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.