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Finding the Fourth Proportional to 564,678.36, 779,154.48 and 319,661.46

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Solution

The fourth proportional to 564,678.36, 779,154.48 and 319,661.46 is: 441,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,678.36 : 779,154.48 = 319,661.46 : x
  2. Step 2: Convert to fraction form
    564,678.36/779,154.48 = 319,661.46/x
  3. Step 3: Cross multiply
    564,678.36x = 779,154.48 × 319,661.46
  4. Step 4: Simplify right side
    564,678.36x = 249,065,658,642.34
  5. Step 5: Solve for x
    x = 249,065,658,642.34/564,678.36
  6. Step 6: Final answer
    x = 441,075.27

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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.