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Finding the Fourth Proportional to 602,457.71, 830,709.92 and 384,374.61

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Solution

The fourth proportional to 602,457.71, 830,709.92 and 384,374.61 is: 530,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,457.71 : 830,709.92 = 384,374.61 : x
  2. Step 2: Convert to fraction form
    602,457.71/830,709.92 = 384,374.61/x
  3. Step 3: Cross multiply
    602,457.71x = 830,709.92 × 384,374.61
  4. Step 4: Simplify right side
    602,457.71x = 319,303,802,484.07
  5. Step 5: Solve for x
    x = 319,303,802,484.07/602,457.71
  6. Step 6: Final answer
    x = 530,002.02

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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.