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Finding the Fourth Proportional to 564,477.18, 778,987.71 and 309,852.06

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Solution

The fourth proportional to 564,477.18, 778,987.71 and 309,852.06 is: 427,600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,477.18 : 778,987.71 = 309,852.06 : x
  2. Step 2: Convert to fraction form
    564,477.18/778,987.71 = 309,852.06/x
  3. Step 3: Cross multiply
    564,477.18x = 778,987.71 × 309,852.06
  4. Step 4: Simplify right side
    564,477.18x = 241,370,946,658.18
  5. Step 5: Solve for x
    x = 241,370,946,658.18/564,477.18
  6. Step 6: Final answer
    x = 427,600.89

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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.