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Finding the Fourth Proportional to 509,802.96, 763,041.10 and 374,831.24

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Solution

The fourth proportional to 509,802.96, 763,041.10 and 374,831.24 is: 561,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,802.96 : 763,041.10 = 374,831.24 : x
  2. Step 2: Convert to fraction form
    509,802.96/763,041.10 = 374,831.24/x
  3. Step 3: Cross multiply
    509,802.96x = 763,041.10 × 374,831.24
  4. Step 4: Simplify right side
    509,802.96x = 286,011,642,980.81
  5. Step 5: Solve for x
    x = 286,011,642,980.81/509,802.96
  6. Step 6: Final answer
    x = 561,023.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.