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Finding the Fourth Proportional to 219,563.30, 302,962.91 and 127,702.91

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Solution

The fourth proportional to 219,563.30, 302,962.91 and 127,702.91 is: 176,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,563.30 : 302,962.91 = 127,702.91 : x
  2. Step 2: Convert to fraction form
    219,563.30/302,962.91 = 127,702.91/x
  3. Step 3: Cross multiply
    219,563.30x = 302,962.91 × 127,702.91
  4. Step 4: Simplify right side
    219,563.30x = 38,689,243,075.74
  5. Step 5: Solve for x
    x = 38,689,243,075.74/219,563.30
  6. Step 6: Final answer
    x = 176,209.98

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1.5x scale

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.