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Finding the Fourth Proportional to 513,323.16, 708,373.65 and 298,537.89

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Solution

The fourth proportional to 513,323.16, 708,373.65 and 298,537.89 is: 411,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,323.16 : 708,373.65 = 298,537.89 : x
  2. Step 2: Convert to fraction form
    513,323.16/708,373.65 = 298,537.89/x
  3. Step 3: Cross multiply
    513,323.16x = 708,373.65 × 298,537.89
  4. Step 4: Simplify right side
    513,323.16x = 211,476,374,802.60
  5. Step 5: Solve for x
    x = 211,476,374,802.60/513,323.16
  6. Step 6: Final answer
    x = 411,975.13

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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.