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Finding the Fourth Proportional to 909,848, 1,255,590.24 and 507,440

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Solution

The fourth proportional to 909,848, 1,255,590.24 and 507,440 is: 700,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,848 : 1,255,590.24 = 507,440 : x
  2. Step 2: Convert to fraction form
    909,848/1,255,590.24 = 507,440/x
  3. Step 3: Cross multiply
    909,848x = 1,255,590.24 × 507,440
  4. Step 4: Simplify right side
    909,848x = 637,136,711,385.60
  5. Step 5: Solve for x
    x = 637,136,711,385.60/909,848
  6. Step 6: Final answer
    x = 700,267.20

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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.