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Finding the Fourth Proportional to 539,906, 745,070.34 and 313,566.08

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Solution

The fourth proportional to 539,906, 745,070.34 and 313,566.08 is: 432,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,906 : 745,070.34 = 313,566.08 : x
  2. Step 2: Convert to fraction form
    539,906/745,070.34 = 313,566.08/x
  3. Step 3: Cross multiply
    539,906x = 745,070.34 × 313,566.08
  4. Step 4: Simplify right side
    539,906x = 233,628,785,838.07
  5. Step 5: Solve for x
    x = 233,628,785,838.07/539,906
  6. Step 6: Final answer
    x = 432,721.23

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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.