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Finding the Fourth Proportional to 470,878.17, 649,808.58 and 256,018.29

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Solution

The fourth proportional to 470,878.17, 649,808.58 and 256,018.29 is: 353,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,878.17 : 649,808.58 = 256,018.29 : x
  2. Step 2: Convert to fraction form
    470,878.17/649,808.58 = 256,018.29/x
  3. Step 3: Cross multiply
    470,878.17x = 649,808.58 × 256,018.29
  4. Step 4: Simplify right side
    470,878.17x = 166,362,881,478.93
  5. Step 5: Solve for x
    x = 166,362,881,478.93/470,878.17
  6. Step 6: Final answer
    x = 353,303.45

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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.