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Finding the Fourth Proportional to 653,866.48, 902,021.54 and 563,064.82

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Solution

The fourth proportional to 653,866.48, 902,021.54 and 563,064.82 is: 776,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,866.48 : 902,021.54 = 563,064.82 : x
  2. Step 2: Convert to fraction form
    653,866.48/902,021.54 = 563,064.82/x
  3. Step 3: Cross multiply
    653,866.48x = 902,021.54 × 563,064.82
  4. Step 4: Simplify right side
    653,866.48x = 507,896,596,056.22
  5. Step 5: Solve for x
    x = 507,896,596,056.22/653,866.48
  6. Step 6: Final answer
    x = 776,758.88

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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.