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Finding the Fourth Proportional to 528,672.13, 729,547.91 and 286,949.50

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Solution

The fourth proportional to 528,672.13, 729,547.91 and 286,949.50 is: 395,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,672.13 : 729,547.91 = 286,949.50 : x
  2. Step 2: Convert to fraction form
    528,672.13/729,547.91 = 286,949.50/x
  3. Step 3: Cross multiply
    528,672.13x = 729,547.91 × 286,949.50
  4. Step 4: Simplify right side
    528,672.13x = 209,343,411,535.79
  5. Step 5: Solve for x
    x = 209,343,411,535.79/528,672.13
  6. Step 6: Final answer
    x = 395,979.66

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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.