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Finding the Fourth Proportional to 563,681.07, 777,878.07 and 305,559.02

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Solution

The fourth proportional to 563,681.07, 777,878.07 and 305,559.02 is: 421,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,681.07 : 777,878.07 = 305,559.02 : x
  2. Step 2: Convert to fraction form
    563,681.07/777,878.07 = 305,559.02/x
  3. Step 3: Cross multiply
    563,681.07x = 777,878.07 × 305,559.02
  4. Step 4: Simplify right side
    563,681.07x = 237,687,661,547.54
  5. Step 5: Solve for x
    x = 237,687,661,547.54/563,681.07
  6. Step 6: Final answer
    x = 421,670.47

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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.