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Finding the Fourth Proportional to 538,893,164.16, 743,668,238.88 and 312,853,124.16

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Solution

The fourth proportional to 538,893,164.16, 743,668,238.88 and 312,853,124.16 is: 431,734,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,893,164.16 : 743,668,238.88 = 312,853,124.16 : x
  2. Step 2: Convert to fraction form
    538,893,164.16/743,668,238.88 = 312,853,124.16/x
  3. Step 3: Cross multiply
    538,893,164.16x = 743,668,238.88 × 312,853,124.16
  4. Step 4: Simplify right side
    538,893,164.16x = 232,658,931,872,173,184
  5. Step 5: Solve for x
    x = 232,658,931,872,173,184/538,893,164.16
  6. Step 6: Final answer
    x = 431,734,798.93

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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.