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Finding the Fourth Proportional to 464,214,978.48, 640,596,472.92 and 255,357,878.16

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Solution

The fourth proportional to 464,214,978.48, 640,596,472.92 and 255,357,878.16 is: 352,382,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,214,978.48 : 640,596,472.92 = 255,357,878.16 : x
  2. Step 2: Convert to fraction form
    464,214,978.48/640,596,472.92 = 255,357,878.16/x
  3. Step 3: Cross multiply
    464,214,978.48x = 640,596,472.92 × 255,357,878.16
  4. Step 4: Simplify right side
    464,214,978.48x = 163,581,356,081,631,072
  5. Step 5: Solve for x
    x = 163,581,356,081,631,072/464,214,978.48
  6. Step 6: Final answer
    x = 352,382,761.58

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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.