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Finding the Fourth Proportional to 647,295.81, 893,650.95 and 575,477.08

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Solution

The fourth proportional to 647,295.81, 893,650.95 and 575,477.08 is: 794,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,295.81 : 893,650.95 = 575,477.08 : x
  2. Step 2: Convert to fraction form
    647,295.81/893,650.95 = 575,477.08/x
  3. Step 3: Cross multiply
    647,295.81x = 893,650.95 × 575,477.08
  4. Step 4: Simplify right side
    647,295.81x = 514,275,641,143.02
  5. Step 5: Solve for x
    x = 514,275,641,143.02/647,295.81
  6. Step 6: Final answer
    x = 794,498.65

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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.