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Finding the Fourth Proportional to 910,143, 1,255,997.88 and 507,735

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Solution

The fourth proportional to 910,143, 1,255,997.88 and 507,735 is: 700,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,143 : 1,255,997.88 = 507,735 : x
  2. Step 2: Convert to fraction form
    910,143/1,255,997.88 = 507,735/x
  3. Step 3: Cross multiply
    910,143x = 1,255,997.88 × 507,735
  4. Step 4: Simplify right side
    910,143x = 637,714,083,601.80
  5. Step 5: Solve for x
    x = 637,714,083,601.80/910,143
  6. Step 6: Final answer
    x = 700,674.60

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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.